7v+2=3(v-6)

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Solution for 7v+2=3(v-6) equation: 


Simplifying
7v + 2 = 3(v + -6)

Reorder the terms:
2 + 7v = 3(v + -6)

Reorder the terms:
2 + 7v = 3(-6 + v)
2 + 7v = (-6 * 3 + v * 3)
2 + 7v = (-18 + 3v)

Solving
2 + 7v = -18 + 3v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-3v' to each side of the equation.
2 + 7v + -3v = -18 + 3v + -3v

Combine like terms: 7v + -3v = 4v
2 + 4v = -18 + 3v + -3v

Combine like terms: 3v + -3v = 0
2 + 4v = -18 + 0
2 + 4v = -18

Add '-2' to each side of the equation.
2 + -2 + 4v = -18 + -2

Combine like terms: 2 + -2 = 0
0 + 4v = -18 + -2
4v = -18 + -2

Combine like terms: -18 + -2 = -20
4v = -20

Divide each side by '4'.
v = -5

Simplifying
v = -5

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